{"id":"vidhyamitra:city-day:paris:2041-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/paris/2041-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-08-13","date_display":"August 13, 2041 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2041,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466744.770833,"kali_year":5143,"ahargana":1878279.2708,"sun":{"sidereal_longitude":115.5582,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":307.6392,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":192.0811,"elapsed_within_tithi_degrees":0.0811},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.6392,"elapsed_within_degrees":0.9726},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.1974},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2041,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466744.770833,"ahargana":1878279.2708,"kali_year":5143,"ayanamsa_lahiri":24.4343,"grahas":{"sun":{"sidereal_longitude":116.260267,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":309.825467,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-4.2814},"mars":{"sidereal_longitude":60.524967000000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":130.99186699999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":181.45876699999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":81.14266700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":174.75516700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":19.7253,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":199.7253,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2041,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466744.770833,"kali_year":5143,"ahargana":1878279.2708,"sun":{"sidereal_longitude":115.5582,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":307.6392,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":192.0811,"elapsed_within_tithi_degrees":0.0811},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.6392,"elapsed_within_degrees":0.9726},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.1974},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.281,"elongation":167.919},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.281,"opposition_distance":12.081}},"eclipse_window_40days":[]},"city":{"slug":"paris","name":"Paris, France","lat":48.8566,"lon":2.3522,"tz_offset_hours":1,"country":"FR","tier":"diaspora"},"tier2":{"city":{"slug":"paris","name":"Paris, France","lat":48.8566,"lon":2.3522,"tz_offset_hours":1,"country":"FR","tier":"diaspora"},"sunriseLocal":"05:40","sunsetLocal":"20:10","solarNoonLocal":"12:55","dayLengthHours":14.4949567155513,"dayLengthDisplay":"14 Hours 29 Mins 42 Secs","nightLengthDisplay":"9 Hours 30 Mins 18 Secs","moonriseLocal":"20:32","moonsetLocal":"07:07","rahuKala":{"name":"Rāhu Kāla","start":"16:33","end":"18:21","startHours":16.542951191191417,"endHours":18.35482078063533,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:18","end":"11:06","startHours":9.295472833415767,"endHours":11.10734242285968,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:55","end":"14:44","startHours":12.919212012303593,"endHours":14.731081601747505,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:32","startHours":9.053890221489912,"endHours":9.537055445341622,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:40","startHours":6.275690184342579,"endHours":6.662222363423948,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:26","end":"13:24","startHours":12.43604678845188,"endHours":13.402377236155301,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:42","startHours":3.7390727591211017,"endHours":4.7054032068245215,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:40","startHours":4.4638205948986664,"endHours":5.671733654527942,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"15:20","end":"16:18","startHours":15.335038131562143,"endHours":16.301368579265564,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:58","end":"20:22","startHours":19.96669037007924,"endHours":20.36669037007924,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:10","end":"20:46","startHours":20.16669037007924,"endHours":20.77064689989388,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:55","end":"21:40","startHours":19.91669037007924,"endHours":21.66669037007924,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:26","end":"01:24","startHours":24.43604678845188,"endHours":25.4023772361553,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:40","end":"07:29","startHours":5.671733654527942,"endHours":7.483603243971855,"quality":"inauspicious"},{"name":"Udveg","start":"07:29","end":"09:18","startHours":7.483603243971855,"endHours":9.295472833415767,"quality":"inauspicious"},{"name":"Chala","start":"09:18","end":"11:06","startHours":9.295472833415767,"endHours":11.10734242285968,"quality":"neutral"},{"name":"Labha","start":"11:06","end":"12:55","startHours":11.10734242285968,"endHours":12.919212012303593,"quality":"auspicious"},{"name":"Amṛta","start":"12:55","end":"14:44","startHours":12.919212012303593,"endHours":14.731081601747505,"quality":"auspicious"},{"name":"Kāla","start":"14:44","end":"16:33","startHours":14.731081601747505,"endHours":16.542951191191417,"quality":"inauspicious"},{"name":"Śubha","start":"16:33","end":"18:21","startHours":16.542951191191417,"endHours":18.35482078063533,"quality":"auspicious"},{"name":"Roga","start":"18:21","end":"20:10","startHours":18.35482078063533,"endHours":20.16669037007924,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"20:10","end":"21:21","startHours":20.16669037007924,"endHours":21.35482078063533,"quality":"inauspicious"},{"name":"Śubha","start":"21:21","end":"22:33","startHours":21.35482078063533,"endHours":22.542951191191417,"quality":"auspicious"},{"name":"Roga","start":"22:33","end":"23:44","startHours":22.542951191191417,"endHours":23.731081601747505,"quality":"inauspicious"},{"name":"Udveg","start":"23:44","end":"00:55","startHours":23.731081601747505,"endHours":24.91921201230359,"quality":"inauspicious"},{"name":"Chala","start":"00:55","end":"02:06","startHours":24.91921201230359,"endHours":26.10734242285968,"quality":"neutral"},{"name":"Labha","start":"02:06","end":"03:18","startHours":26.10734242285968,"endHours":27.295472833415765,"quality":"auspicious"},{"name":"Amṛta","start":"03:18","end":"04:29","startHours":27.295472833415765,"endHours":28.483603243971853,"quality":"auspicious"},{"name":"Kāla","start":"04:29","end":"05:40","startHours":28.483603243971853,"endHours":29.67173365452794,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.671733654527942,"endHours":6.671733654527942,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.671733654527942,"endHours":7.671733654527942,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.671733654527942,"endHours":8.67173365452794,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.67173365452794,"endHours":9.67173365452794,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.67173365452794,"endHours":10.67173365452794,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.67173365452794,"endHours":11.67173365452794,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.67173365452794,"endHours":12.67173365452794,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.67173365452794,"endHours":13.67173365452794,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.67173365452794,"endHours":14.67173365452794,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.67173365452794,"endHours":15.67173365452794,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.67173365452794,"endHours":16.67173365452794,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.67173365452794,"endHours":17.67173365452794,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.67173365452794,"endHours":18.67173365452794,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.67173365452794,"endHours":19.67173365452794,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.67173365452794,"endHours":20.67173365452794,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.67173365452794,"endHours":21.67173365452794,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.67173365452794,"endHours":22.67173365452794,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.67173365452794,"endHours":23.67173365452794,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.67173365452794,"endHours":24.67173365452794,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.67173365452794,"endHours":25.67173365452794,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.67173365452794,"endHours":26.67173365452794,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.67173365452794,"endHours":27.67173365452794,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.67173365452794,"endHours":28.67173365452794,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.67173365452794,"endHours":29.67173365452794,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.592655943165248,"eotMinutes":-4.561520738215509,"ayanamsa":24.4343}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Dvitīyā · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"paris"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 13, 2041 CE · Paris, France · Vidhyamitra","description":"August 13, 2041 CE for Paris, France: Kṛṣṇa Dvitīyā, sūryodaya 05:40, sūryāsta 20:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/paris/2041-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/paris/2041-08-13","sa":"https://sa.vidhyamitra.com/city/paris/2041-08-13","hi":"https://hi.vidhyamitra.com/city/paris/2041-08-13","x-default":"https://vidhyamitra.com/city/paris/2041-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T09:58:06.242Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-08-10T09:58:06.242Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T09:58:06.242Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}